Monotonic Convergence Analysis for 2-D Roesser Systems via a LMI Approach

Zhi Fu Li; Yue Ming Hu

doi:10.4028/www.scientific.net/AMM.575.594

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 575Monotonic Convergence Analysis for 2-D Roesser...

Monotonic Convergence Analysis for 2-D Roesser Systems via a LMI Approach

Abstract:

The monotonic convergence (MC) property of discrete two-dimensional (2-D) systems described by the Roesser model is studied. The MC problem of the 2-D system is firstly converted to two H_∞ disturbance attenuation problems of the traditional one-dimensional system. Then, the sufficient condition is derived for the MC, which is given by two linear matrix inequalities (LMIs). Furthermore, it can be shown that either of the LMIs can also guarantee the Bounded-Input Bounded-Output (BIBO) stability of the 2-D system. Finally, a simulation example is given to show the effectiveness of the LMIs condition.

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Periodical:

Applied Mechanics and Materials (Volume 575)

Pages:

594-597

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.575.594

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Online since:

June 2014

Authors:

Zhi Fu Li*, Yue Ming Hu

Keywords:

Bounded-Input Bounded-Output Stability, Linear Matrix Inequality (LMI), Monotonic Convergence, Roesser Model, Two-Dimensional System

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